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3. consider the sequence of numbers defined by t13 tn2...

# Question: consider the sequence of numbers defined by t13 tn2...

###### Question details

Consider the sequence of numbers defined by T1=3, Tn=2 * Tn-1 + 3 for all n >=2,

a) List the first five terms of this sequence.

b) Prove by induction that Tn= 3(2^n - 1) for all integers n>=1